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AfilCa [17]
3 years ago
11

Find the area of the shaded region

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

7\pi cm²

Step-by-step explanation:

First, find the area of the big circle with the formula A = \pir²

A = \pi(3)²

A = 9\pi

Now, we can find the areas of the smaller circles. Since they have the same radius, they are congruent (will have the same area)

A = \pir²

A = \pi(1)²

A = \pi

Now, we will subtract the areas of the smaller circles from the area of the big circle to find the area of the shaded region:

9\pi - \pi - \pi = 7\pi

So, the area of the shaded region is 7\pi cm²

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Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass =   >6</span>

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q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

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P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

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